P gave Rs.12000 for starting a business.Q gave Rs.16000. What will be share of profit of R after 2 years if R comes after 8 months with his Rs.15000 and profit earned by P, Q and R is Rs.45600?
Question
P gave Rs.12000 for starting a business.Q gave Rs.16000. What will be share of profit of R after 2 years if R comes after 8 months with his Rs.15000 and profit earned by P, Q and R is Rs.45600?
Solution
The profit share in a business is divided according to the capital invested and the time for which it was invested.
Step 1: Calculate the capital-time product for each person.
For P, the capital-time product is Rs.12000 * 24 months = Rs.288000 For Q, the capital-time product is Rs.16000 * 24 months = Rs.384000 For R, since he joined after 8 months, the capital-time product is Rs.15000 * 16 months = Rs.240000
Step 2: Calculate the total capital-time product.
The total capital-time product is Rs.288000 + Rs.384000 + Rs.240000 = Rs.912000
Step 3: Calculate the share of each person.
The share of P is Rs.288000 / Rs.912000 * Rs.45600 = Rs.14400 The share of Q is Rs.384000 / Rs.912000 * Rs.45600 = Rs.19200 The share of R is Rs.240000 / Rs.912000 * Rs.45600 = Rs.12000
So, the share of profit of R after 2 years is Rs.12000.
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